Islam is not a race. Islam is a religion and a belief-system whose believers come from a variety of races and ethnic backgrounds. Not all Muslims are Arab. You could, logically argue that Islamophobia is a form of bigotry, but I'm not at all certain that that description fits Trump.

I would modify Beydoun's definition of the word Islamophobia as "an unreasonable suspicion and fear of Islam". So, we'd have to ask if Trump's fear of Islam is unreasonable?

While calling for a ban (temporary or otherwise) of all Muslim immigration into the United States might be extreme, there are elements in Islam which do pose a threat to Western civilization and picking out which Muslims are extreme, and which are not, is not an easy task.

Beydoun claims that the "word brand Trump" is becoming synonymous with the expansion of racism and the incitement of Islamophobic violence. That may be true among the political Left where the word racism is thrown about carelessly, but I've seen little evidence of Islamophobic violence in the United States.